论文标题

部分可观测时空混沌系统的无模型预测

Entanglement Dynamics of the Non-Unitary Holographic Channel

论文作者

Goto, Kanato, Nozaki, Masahiro, Tamaoka, Kotaro, Tan, Mao Tian

论文摘要

我们通过研究对应于该量子电路的双操作员状态的操作员纠缠熵和互信息(OEE和BOMI),研究了涉及有限大小区域的投影测量的强烈量子量子电路的动力学性质。 OEE的时间依赖性表现出了操作纠缠的新动力学行为,即伴随OEE线性时间生长的附加分数系数。对于全息系统,这等同于修改虫孔体积的线性生长速率的附加分数系数。 BOMI的时间依赖性表明,投影测量可能会破坏这种双重状态的非本地相关性。我们还提出了一个有效模型的重力双重双重和线条张紧图,该图片描述了这种强烈争夺量子电路。

We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator state that corresponds to this quantum circuit. The time-dependence of the OEE exhibits a new dynamical behavior of operator entanglement, namely an additional fractional coefficient that accompanies the linear time growth of the OEE. For a holographic system, this is equivalent to an additional fractional coefficient that modifies the linear growth rate of the wormhole volume. The time-dependence of the BOMI shows that the projective measurement may destroy the non-local correlations in this dual state. We also propose a gravity dual as well as a line-tension picture, which is an effective model, that describe this strongly scrambling quantum circuit.

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